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3 years ago

−2/9−(−1/3÷3/5)PLZZZZ ANSWER TEST

Mathematics

1 answer:

lesya [120]3 years ago

7 0

Answer:

The answer should be 1/3 Also known as 0.3333

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What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b

kramer

Option C: $a=3, b=4$ is the value of a and b

Explanation:

Given that the expression $\sqrt{648}=\sqrt{2^a\times3^b}$

We need to determine the value of a and b

Let us consider the term $\sqrt{648}$ and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

$648=2 \cdot 324$

324 divides by 2,

$648=2 \cdot 2 \cdot 162$

162 divides by 2,

$648=2 \cdot 2 \cdot 2 \cdot 81$

81 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27$

27 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9$

9 divides by 3,

$648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Thus, we have,

$\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}$

Therefore, equating the powers of 2 and 3, we get,

$a=3, b=4$

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0

3 years ago

Read 2 more answers

2. Select the situation below that result in zero. * 0 points A. A diver is at sea level, reaches a depth of 6 ½ feet and descen

Komok [63]

Answer: B and C only

Step-by-step explanation:

The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees

Initial temperature = 0

Temperature rise = 4

Fall in temperature = - 4

(Initial temperature + rise in temperature + fall in temperature)

Summing all : (0 + 4 - 4) = 0

carbon atom has 6 negatively charged electrons and 6 positively charged protons.

Net charge of atom :

(number of proton + number of electrons)

( 6 + (-6)) = 0

8 0

4 years ago

Genesis would like to join a Book Club. She needs to pay $12.00 for entrance into the book

77julia77 [94]

Answer:

An equation in function notation for the total cost of the book club will be:

y = 20x + 12

Step-by-step explanation:

Given that Genesis needs to pay $12.00 for entrance into the book club.

Per month fee = $20.00

We know that the slope-intercept form of a linear function is

$y = mx+b$

where m is the slope and b is the y-intercept

As the rate of change is also called the slope.

The rate of $20.00 per month would be termed as the slope = m = 20

One time fee = $12.00, meaning the y-intercept = b = 12

Thus, the equation becomes

$y = mx+b$

y represents the total cost

x represents the duration

m represents the rate of change = m = 20

b represents the y-intercept = b = 12

y = 20x + 12

Therefore, an equation in function notation for the total cost of the book club will be:

y = 20x + 12

5 0

3 years ago

Other expressions for 19 times 25 + 19 times 75

Vladimir [108]

Answer:

1,900

Step-by-step explanation:

4 0

3 years ago

Ms. Gadget car broke down on the turnpike. Acme town Ig charged $30 plus $3 per mile to tow the car. If ms. Gadget paid $162, ho

Reil [10]

The equation would be 30+3m=162 then you solve the problem

4 0

3 years ago